Note on the Intermediate Field Representation of Phi^2k Theory in Zero Dimension

preprint2016arXivOpen access

Abstract

This expanded version corrects some misprints of the first version, details completely the poof of Borel-Leroy summability and for k=3k=3 in the complex case provides a new improved representation which relies on ordinary convergent Gaussian integrals rather than oscillatory integrals.

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